223242600 has 192 divisors, whose sum is σ = 825661440. Its totient is φ = 48787200.

The previous prime is 223242599. The next prime is 223242611. The reversal of 223242600 is 6242322.

223242600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223242600³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95445 + ... + 97755.

It is an arithmetic number, because the mean of its divisors is an integer number (4300320).

Almost surely, 2^223242600 is an apocalyptic number.

223242600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412830720).

223242600 is an abundant number, since it is smaller than the sum of its proper divisors (602418840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223242600 is a wasteful number, since it uses less digits than its factorization.

223242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 223242600 is about 14941.3051638737. The cubic root of 223242600 is about 606.6325236725.

Adding to 223242600 its reverse (6242322), we get a palindrome (229484922).

The spelling of 223242600 in words is "two hundred twenty-three million, two hundred forty-two thousand, six hundred".